Finding the Third Proportional to 42,614 and 99,533

Step by Step Solution

1. Step 1: Write the proportion equation
   42,614 : 99,533 = 99,533 : x
2. Step 2: Convert to fraction form
   42,614/99,533 = 99,533/x
3. Step 3: Cross multiply
   42,614x = 99,533 × 99,533
4. Step 4: Simplify right side
   42,614x = 9,906,818,089
5. Step 5: Solve for x
   x = 9,906,818,089/42,614
6. Step 6: Final answer
   x = 232,478.01